Question

A dealer is selling an article at a discount of 5% on the marked price. What is the selling price, if the marked price is Rs.140?

Answer 1

Hint: Here it is given that we need to find the selling price when the marked price of the item is given. We find the discount of the item by using the following concept: x% of a = $ \dfrac{x}{100}\times a $ . Once we find the discount, we find the selling price of the article by subtracting from the given marked price.

Complete step-by-step answer:
Given that the marked price of an article is Rs. 140. The dealer like to sell this article at a discount of 5% on the marked price.
According to the information,
Discount = 5% of marked price.
Let us find the discount first.
We know that x% is known as x parts out of 100, i.e., $ x%=\dfrac{x}{100} $ .
Discount = $ \dfrac{5}{100}\times $ marked price.
Now, we substitute the marked price.
Discount = $ \dfrac{5}{100}\times 140 $ .
Discount = $ \dfrac{700}{100} $ .
Discount = Rs.7 --- (1).
Now we need to find the selling price of the article. To find the selling price we need to subtract the discount from the marked price.
Selling price = Marked price – Discount---(2).
We got the marked price as Rs.40 and from equation (1) we calculated the discount as Rs.7. Now, we substitute these values in equation (2).
Selling price = Rs.140 – Rs.7.
Selling price = Rs.133.
∴ The value of selling price of the article is Rs.133

Note: We should not confuse the value of selling price with the value of discount. We should not directly start finding the selling price without finding the discount as it may cause confusion. If the cost price of the article is given, we could have found profit or loss incurred by the dealer by subtracting cost price from selling price.